求解n维偏微分方程的n维五次b样条函数

IF 2.4 Q2 ENGINEERING, MECHANICAL

Nonlinear Engineering - Modeling and Application Pub Date : 2022-01-01 DOI:10.1515/nleng-2022-0016

K. Raslan, K. Ali, H. K. Al-Jeaid

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引用次数: 1

摘要

摘要:在我们从发展b样条函数并将其置于n维空间来求解n维数学模型开始的基础上，本文提出了一种新的n维五次b样条配置算法结构。五次b样条搭配算法以三种不同的格式显示:一维、二维和三维。这些构造对于求解不同领域的数学模型至关重要。通过对几个二维和三维测试问题的应用，说明了该方法的有效性和准确性。我们使用文献中可用的其他数值方法进行比较。

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N-dimensional quintic B-spline functions for solving n-dimensional partial differential equations

Abstract In continuation to what we started from developing the B-spline functions and putting them in n-dimensional to solve mathematical models in n-dimensions, we present in this article a new structure for the quintic B-spline collocation algorithm in n-dimensional. The quintic B-spline collocation algorithm is shown in three different formats: one, two, and three dimensional. These constructs are critical for solving mathematical models in different fields. The proposed method’s efficiency and accuracy are illustrated by their application to a few two- and three-dimensional test problems. We use other numerical methods available in the literature to make comparisons.

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来源期刊

Nonlinear Engineering - Modeling and Application Multiple-

CiteScore

6.20

自引率

3.60%

发文量

审稿时长

44 weeks

期刊介绍： The Journal of Nonlinear Engineering aims to be a platform for sharing original research results in theoretical, experimental, practical, and applied nonlinear phenomena within engineering. It serves as a forum to exchange ideas and applications of nonlinear problems across various engineering disciplines. Articles are considered for publication if they explore nonlinearities in engineering systems, offering realistic mathematical modeling, utilizing nonlinearity for new designs, stabilizing systems, understanding system behavior through nonlinearity, optimizing systems based on nonlinear interactions, and developing algorithms to harness and leverage nonlinear elements.